03825nam 2200745 450 991048395020332120210218005224.01-282-65579-597866126557913-642-02141-710.1007/978-3-642-02141-1(CKB)1000000000773029(EBL)450453(OCoLC)437346628(SSID)ssj0000441025(PQKBManifestationID)11288563(PQKBTitleCode)TC0000441025(PQKBWorkID)10407025(PQKB)10495887(DE-He213)978-3-642-02141-1(MiAaPQ)EBC450453(MiAaPQ)EBC6352849(PPN)136310257(EXLCZ)99100000000077302920210218d2009 uy 0engur|n|---|||||txtccrPotential analysis of stable processes and its extensions /Krzysztof Bogdan, 6 others, volume editors Piotr Graczyk, Andrzej Stos1st ed. 2009.Berlin, Germany :Springer,[2009]©20091 online resource (200 p.)Lecture notes in mathematics ;1980Description based upon print version of record.3-642-02140-9 Includes bibliographical references (pages [177]-183) and index.Boundary Potential Theory for Schr#x00F6;dinger Operators Based on Fractional Laplacian -- Nontangential Convergence for #x03B1;-harmonic Functions -- Eigenvalues and Eigenfunctions for Stable Processes -- Potential Theory of Subordinate Brownian Motion.Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schroedinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.Lecture notes in mathematics (Springer-Verlag) ;1980.Functional analysisPotential theory (Mathematics)Analyse fonctionnelleFunctional analysis.Potential theory (Mathematics)Analyse fonctionnelle.51060J4560G5260J5060J7531B2531C0531C3531C25mscMAT 315fstubMAT 605fstubMAT 607fstubSI 850rvkBogdan Krzysztof323549Stos AndrzejGraczyk P(Piotr),SpringerLink (Online service)MiAaPQMiAaPQMiAaPQBOOK9910483950203321Potential analysis of stable processes and its extensions1440578UNINA